Page 94 - Science at the nanoscale
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                                                     RPS: PSP0007 - Science-at-Nanoscale
                   June 12, 2009
                              From Atoms and Molecules to Nanoscale Materials
                          84
                                              Schematic to illustrate the difference between (100) and
                                   Figure 4.23.
                                   (111) plane of a NaCl crystal.
                                                                                  Light
                                                                                 diffracted
                                      Incident
                                                                                 in phase
                                      radiation
                                                            O
                                                         θ
                                                                                 Top plane
                                                                               d
                                                            θ
                                                         A
                                                                C
                                                                                Second plane
                                                             B
                                                 Diffraction of x-ray radiation from periodic planes.
                                      Figure 4.24.
                                   two planes (100) and (110) have very different atomic arrangement  ch04
                                   in the NaCl crystal (Fig. 4.23) and hence are rather different in their
                                   chemical behaviours. 10
                                     The structures of crystals are often analyzed by X-ray diffraction
                                   (XRD) technique. When x-ray radiation of wavelength λ passes
                                   through the periodic planes of atoms (Fig. 4.24), the diffraction
                                   angle θ at which constructive interferences are detected is given
                                   10  In these simple cases, crystal planes correspond to layers of atoms, but this is not
                                     generally the case for more complex crystal structures.
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